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The discrete energy spectra of composite inverse power-law binding potentials of the form $V(r;\alpha,\beta,n)=-\alpha/r^2+\beta/r^n$ with $n>2$ are studied {\it analytically}. In particular, using a functional matching procedure for the…

量子物理 · 物理学 2025-02-19 Shahar Hod

A charged particle in a magnetic field possesses discrete energy levels associated with particle rotation around the field lines. A bound complex of particles with a nonzero net charge possesses an analogous levels associated with its…

原子物理 · 物理学 2021-02-16 I. V. Demidov , A. Y. Potekhin

We make a multipole expansion of the atomic/molecular electrostatic charge distribution as seen by the valence electron up to the quadrupole term. The Tridiagonal Representation Approach (TRA) is used to obtain an exact bound state solution…

量子物理 · 物理学 2019-04-02 A. D. Alhaidari , H. Bahlouli

We consider a multi-polaron model obtained by coupling the many-body Schr\"odinger equation for N interacting electrons with the energy functional of a mean-field crystal with a localized defect, obtaining a highly non linear many-body…

数学物理 · 物理学 2012-11-15 Mathieu Lewin , Nicolas Rougerie

Given a potential $V$ and the associated Schr\"odinger operator $-\Delta+V$, we consider the problem of providing sharp upper and lower bound on the energy of the operator. It is known that if for example $V$ or $V^{-1}$ enjoys suitable…

偏微分方程分析 · 数学 2014-07-16 Lorenzo Brasco , Giuseppe Buttazzo

We consider a two-dimensional electron gas interacting with a quantized cavity mode. We find that the coupling between the electrons and the photons in the cavity enhances the superconducting gap. Crucially, all terms in the Peierls phase…

介观与纳米尺度物理 · 物理学 2025-01-09 Valerii K. Kozin , Even Thingstad , Daniel Loss , Jelena Klinovaja

The auxiliary field method is a powerful technique to obtain approximate closed-form energy formulas for eigenequations in quantum mechanics. Very good results can be obtained for Schr\"odinger and semirelativistic Hamiltonians with various…

量子物理 · 物理学 2010-06-04 Claude Semay , Bernard Silvestre-Brac

The polarization operator is investigated at arbitrary photon energy in a constant and homogeneous magnetic field for the strength H less than the Schwinger critical value. The effective mass of a real photon with a preset polarization is…

高能物理 - 唯象学 · 物理学 2013-11-26 V. M. Katkov

In quantum chemistry calculations, the correlation energy is defined as the difference between the Hartree-Fock limit energy and the exact solution of the nonrelativistic Schrodinger equation. With this definition, the electron correlation…

量子物理 · 物理学 2009-11-11 Zhen Huang , Sabre Kais

We report on the non-trivial field dependence of charge carrier recombination in an organic blend at low temperatures. A new microwave resonance technique for monitoring charge recombination in organic semiconductors at low temperatures is…

介观与纳米尺度物理 · 物理学 2015-09-09 S. Athanasopoulos , N. C. Greenham , R. H. Friend , A. D. Chepelianskii

Rotated quadratures carry the phase-dependent information of the electromagnetic field, so they are somehow conjugate to the photon number. We analyze this noncanonical pair, finding an exact uncertatinty relation, as well as a couple of…

量子物理 · 物理学 2015-05-20 Z. Hradil , J. Rehacek , P. de la Hoz , G. Leuchs , L. L. Sanchez-Soto

We use femtosecond optical spectroscopy to systematically measure the primary energy relaxation rate k1 of photoexcited carriers in cuprate and pnictide superconductors. We find that k1 increases monotonically with increased negative strain…

Ultra-intense laser pulses can create sufficiently strong fields to probe quantum electrodynamics effects in a novel regime. By colliding a 60 GeV electron bunch with a laser pulse focussed to the maximum achievable intensity of $10^{23}$…

The coupling of photons with (ultra-) relativistic atomic nuclei is presented in two particular circumstances: very high electromagnetic fields and very short photon pulses. We consider a typical situation where the (bare) nuclei (fully…

核理论 · 物理学 2013-12-05 M. Apostol , M. Ganciu

We make a comparison between the energy levels of the hydrogen atom, calculated by using standard methods, and that by using a modified Coulomb potential due to the interaction between the magnetic moments of the proton and electron. In…

原子物理 · 物理学 2014-07-09 Voicu Dolocan

The two stage electron acceleration model [arXiv: 1512.02411 and arXiv: 1512.07546] is extended to the study of laser magnetized-plasmas interactions at relativistic intensities and in the presence of large-scale preformed plasmas. It is…

等离子体物理 · 物理学 2017-05-24 D. Wu , S. I. Krasheninnikov , S. X. Luan , W. Yu

A recursion technique of obtaining the asymptotical expansions for the bound-state energy eigenvalues of the radial Schr\"odinger equation with a position-dependent mass is presented. As an example of the application we calculate the energy…

量子物理 · 物理学 2012-06-11 D. A. Kulikov , V. M. Shapoval

Coupled elliptic quantum dots with different aspect ratios containing up to two electrons are studied using a model confinement potential in the presence of magnetic fields. Single and two particle Schroedinger equations are solved using…

介观与纳米尺度物理 · 物理学 2009-11-11 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

Cooling and Entanglement in optomechanical systems coupled through radiation pressure and photothermal force is studied. To develop the photothermal model, we derive an expression for deformation constant of the force. Exploiting linearized…

量子物理 · 物理学 2013-02-15 Mehdi Abdi , Ali Reza Bahrampour

We consider a lattice model in which phonons scatter with pairs of electrons. All eigenvalues and eigenvectors can be obtained analytically. For a suitable choice of parameters the ground state consists of a Fermi sea of non-interacting…

强关联电子 · 物理学 2010-01-20 Jan Naudts , Tobias Verhulst